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THE EASTER DATE................ [Se preferir, veja a página em Português com mais detalhes]
Thanks to the German Mathematician Karl Friedrich Gauss (1777-1855), the French Astronomer Jean Baptiste Joseph Delambre (1749-1822) and others, we have the definitive algorithm to find the Easter date, any year, from 1 AD to infinity. Get the Easter Sunday from the next formulae, or run the program below, introducing Year (from 1 AD to infinity). See, also, the respective Carnival Tuesday (47 days before Easter) and Corpus Christi Thursday (60 days after Easter):
Note: If you compare this calendar with the one in Microsoft/Office/Excel, you will find a difference in year 1900. This is a problem in Excel, that incorrectly considers 1900 a leap year. Any attempt to calculate former dates (before 1900 March 1st), starting from Excel calendar, will result 1 day mistake. The bug comes from Lotus 1-2-3 and was purposely implemented in Excel, in order to match both spreadsheets.
Mod = Remainder
If you prefer, print and assemble a pocket liturgical disk (2000 to
2099 years), going to the drawing page:
Some explanations, from Jean Meeus in "Astronomical Algorithms" excellent book:
Easter is the first Sunday after the Full Moon that happens on or next after the
Spring equinox. Good Friday happens two days before Easter. Actually, the rules for finding the Easter date were fixed long ago by the
Christian clergy. For the purposes of these rules, the Full Moon is reckoned according to
an ecclesiastical computation and is not the real, astronomical Full Moon. Likewise, the
equinox is always assumed to fall on March 21; actually, it can occur a day or two sooner. (The formulae above are according with the ecclesiastical rules)
In 1967, for instance, the Full Moon was on March 26 (3h21m GMT).
The first Sunday after March 26 was April 2. Nevertheless, Easter Sunday was March 26.
During the period 1900-2100, the purely astronomical rule yields another date for Easter
Sunday than the ecclesiastical rule for the following years: 1900, 1903, 1923, 1924, 1927,
1943, 1954, 1962, 1967, 1974, 1981, 2038, 2049, 2069, 2076, 2089, 2095 and 2096.
A period of 5 700 000 years is required for the cyclical recurrence of the Gregorian
Easter dates. It has been found that the most frequent Gregorian Easter date is April 19.
The date of the Julian Easter has a periodicity of 532 years. For instance, we find April
12 for the years 179, 711 and 1243.
The extreme dates of Easter are March 22 and April 25.
Look at the ready reckoner below, for 1900 to 2099 years: 19.. YEAR EASTER CARNIVAL C.CHRISTI ----------------------------------------- 00-06-79-90 Apr 15 Feb 27 Jun 14 01-85 Apr 7 Feb 19 Jun 6 02-75-86-97 Mar 30 Feb 11 May 29 03-14-25-98 Apr 12 Feb 24 Jun 11 04-88 Apr 3 Feb 16 Jun 2 05-16 Apr 23 Mar 7 Jun 22 07-18-29-91 Mar 31 Feb 12 May 30 08-81-87-92 Apr 19 Mar 3 Jun 18 09-71-82-93 Apr 11 Feb 23 Jun 10 10-21 Mar 27 Feb 8 May 26 11-22-33-95 Apr 16 Feb 28 Jun 15 12-96 Apr 7 Feb 20 Jun 6 13 Mar 23 Feb 4 May 22 15-26-99 Apr 4 Feb 16 Jun 3 17 Apr 8 Feb 20 Jun 7 19-24-30 Apr 20 Mar 4 Jun 19 20 Apr 4 Feb 17 Jun 3 23-34-45 Apr 1 Feb 13 May 31 27-38-49-60 Apr 17 Mar 1 Jun 16 28 Apr 8 Feb 21 Jun 7 31-42-53 Apr 5 Feb 17 Jun 4 32 Mar 27 Feb 9 May 26 35-46-57 Apr 21 Mar 5 Jun 20 36 Apr 12 Feb 25 Jun 11 37 Mar 28 Feb 9 May 27 39-50 Apr 9 Feb 21 Jun 8 40 Mar 24 Feb 6 May 23 41 Apr 13 Feb 25 Jun 12 43 Apr 25 Mar 9 Jun 24 44 Apr 9 Feb 22 Jun 8 47-58-69 Apr 6 Feb 18 Jun 5 48 Mar 28 Feb 10 May 27 51 Mar 25 Feb 6 May 24 52 Apr 13 Feb 26 Jun 12 54-65-76 Apr 18 Mar 2 Jun 17 55-66-77 Apr 10 Feb 22 Jun 9 56 Apr 1 Feb 14 May 31 59-70 Mar 29 Feb 10 May 28 61 Apr 2 Feb 14 Jun 1 62-73-84 Apr 22 Mar 6 Jun 21 63 Apr 14 Feb 26 Jun 13 64 Mar 29 Feb 11 May 28 67-78-89 Mar 26 Feb 7 May 25 68 Apr 14 Feb 27 Jun 13 72 Apr 2 Feb 15 Jun 1 74 Apr 14 Feb 26 Jun 13 80 Apr 6 Feb 19 Jun 5 83-94 Apr 3 Feb 15 Jun 2 20.. YEAR EASTER CARNIVAL C.CHRISTI ----------------------------------------- 00-79 Apr 23 Mar 7 Jun 22 01-63-74-85 Apr 15 Feb 27 Jun 14 02-13-86-97 Mar 31 Feb 12 May 30 03-14-25-87-98 Apr 20 Mar 4 Jun 19 04-88 Apr 11 Feb 24 Jun 10 05 Mar 27 Feb 8 May 26 06-17-90 Apr 16 Feb 28 Jun 15 07-91 Apr 8 Feb 20 Jun 7 08 Mar 23 Feb 5 May 22 09-93-99 Apr 12 Feb 24 Jun 11 10-21-83-94 Apr 4 Feb 16 Jun 3 11-95 Apr 24 Mar 8 Jun 23 12 Apr 8 Feb 21 Jun 7 15-26-37 Apr 5 Feb 17 Jun 4 16 Mar 27 Feb 9 May 26 18-29 Apr 1 Feb 13 May 31 19-30-41-52 Apr 21 Mar 5 Jun 20 20 Apr 12 Feb 25 Jun 11 22-33-44 Apr 17 Mar 1 Jun 16 23-34-45 Apr 9 Feb 21 Jun 8 24 Mar 31 Feb 13 May 30 27 Mar 28 Feb 9 May 27 28 Apr 16 Feb 29 Jun 15 31 Apr 13 Feb 25 Jun 12 32 Mar 28 Feb 10 May 27 35-46 Mar 25 Feb 6 May 24 36 Apr 13 Feb 26 Jun 12 38 Apr 25 Mar 9 Jun 24 39-50-61 Apr 10 Feb 22 Jun 9 40 Apr 1 Feb 14 May 31 42-53 Apr 6 Feb 18 Jun 5 43-54-65 Mar 29 Feb 10 May 28 47-58-69 Apr 14 Feb 26 Jun 13 48 Apr 5 Feb 18 Jun 4 49-55-60 Apr 18 Mar 2 Jun 17 51 Apr 2 Feb 14 Jun 1 56 Apr 2 Feb 15 Jun 1 57-68 Apr 22 Mar 6 Jun 21 59-70-81 Mar 30 Feb 11 May 29 62-73 Mar 26 Feb 7 May 25 64 Apr 6 Feb 19 Jun 5 66-77 Apr 11 Feb 23 Jun 10 67-78-89 Apr 3 Feb 15 Jun 2 71-76-82 Apr 19 Mar 3 Jun 18 72 Apr 10 Feb 23 Jun 9 75 Apr 7 Feb 19 Jun 6 80 Apr 7 Feb 20 Jun 6 84 Mar 26 Feb 8 May 25 92 Mar 30 Feb 12 May 29 96 Apr 15 Feb 28 Jun 14 EASTER = Sunday CARNIVAL = Tuesday (47 days before Easter) C.CHRISTI = Thursday (60 days after Easter) |
© 01/01/2000 Atualizada em 02/05/2020